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Title | Ryan Mann - Quantum Physics, Complexity Theory, & |
Description | Ryan Mann on quantum physics, complexity theory, combinatorics, and various other |
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Home About Research Resources Ryan Mann Quantum Physics, Complexity Theory, & Combinatorics Quantum Parameterized Complexity March 16, 2022 Michael Bremner , Zhengfeng Ji , Luke Mathieson , Mauro Morales , Alexis Shaw , and I have just uploaded to arXiv our paper " Quantum Parameterized Complexity ". In this paper we establish a quantum equivalent of classical parameterized complexity theory , motivated by the need to establish new tools for the complexity-theoretic classification of real-world problems. We introduce the quantum analogues of a range of parameterized complexity classes (see Table I ), and examine the relationship between these classes, their classical counterparts, and well-studied problems (see Figure 1 ). In some cases, the quantum generalisations and their relationships follow almost directly from the equivalent classical definitions and their relationships. However, in other cases, the quantum generalisations are much less straightforward, for example, in the case |
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